Two problems related to ignition have been reported for the 2002 BMW 325. The most recently reported issues are listed below.
I had gotten rain on my hazard and lock button on my 2002 BMW 325i. At first I had the hazards goings off at night up to fifteen times per night for a week straight. "I had to run outside and hold down the hazard button until the lights turn off. Now the lights just blink throughout the day and night once or twice while ignition is off or while driving. Also not to mention the locks go off repeatedly on its own while driving or parked. I will be taking it to the shop to see what should be done next.
The key can be removed from the ignition while the car is in drive.